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Currently displaying 1 – 3 of 3

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A note on the best $L_{2}$ approximation by ridge functions.

Ismailov, Vugar E. — 2007

Applied Mathematics E-Notes [electronic only]

On error formulas for approximation by sums of univariate functions.

Ismailov, Vugar E. — 2006

International Journal of Mathematics and Mathematical Sciences

On the approximation by compositions of fixed multivariate functions with univariate functions

Vugar E. Ismailov — 2007

Studia Mathematica

The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.

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